Franchise Hockey Manager 2 is, as the name implies, the second annual edition of OOTP Developments' simulation of running an NHL team.
To answer your first question: no, you can't challenge other GMs to fight in a barn. To answer your second question: no, you can't set the status of your tie during press conferences (you can't even call press conferences). To answer your third question: I haven't played much of East Side Hockey Manager, so I'm not the best person to provide a comparison.
What I can tell you is whether FHM2 stands on its own merits.